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13202120232 = 2333734725163
BaseRepresentation
bin11000100101110100…
…00101111000101000
31021002002010012022000
430102322011320220
5204014220321412
610022011131000
7645106112310
oct142272057050
937062105260
1013202120232
115665286374
122685443a60
13132521c082
148d3540440
155240794dc
hex312e85e28

13202120232 has 128 divisors (see below), whose sum is σ = 42033945600. Its totient is φ = 3761014464.

The previous prime is 13202120231. The next prime is 13202120237. The reversal of 13202120232 is 23202120231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13202120231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512083 + ... + 537245.

It is an arithmetic number, because the mean of its divisors is an integer number (328390200).

Almost surely, 213202120232 is an apocalyptic number.

13202120232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21016972800).

13202120232 is an abundant number, since it is smaller than the sum of its proper divisors (28831825368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13202120232 is a wasteful number, since it uses less digits than its factorization.

13202120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25532 (or 25522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13202120232 its reverse (23202120231), we get a palindrome (36404240463).

Subtracting 13202120232 from its reverse (23202120231), we obtain a palindrome (9999999999).

The spelling of 13202120232 in words is "thirteen billion, two hundred two million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 347 378 504 694 756 1041 1388 1512 2082 2429 2776 3123 4164 4858 6246 7287 8328 9369 9716 12492 14574 18738 19432 21861 24984 25163 29148 37476 43722 50326 58296 65583 74952 75489 87444 100652 131166 150978 174888 176141 201304 226467 262332 301956 352282 452934 524664 528423 603912 679401 704564 905868 1056846 1358802 1409128 1585269 1811736 2113692 2717604 3170538 4227384 4755807 5435208 6341076 8731561 9511614 12682152 17463122 19023228 26194683 34926244 38046456 52389366 61120927 69852488 78584049 104778732 122241854 157168098 183362781 209557464 235752147 244483708 314336196 366725562 471504294 488967416 550088343 628672392 733451124 943008588 1100176686 1466902248 1650265029 1886017176 2200353372 3300530058 4400706744 6601060116 13202120232